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Finding the Fourth Proportional to 223.20, 335.20 and 164.64

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Solution

The fourth proportional to 223.20, 335.20 and 164.64 is: 247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 335.20 = 164.64 : x
  2. Step 2: Convert to fraction form
    223.20/335.20 = 164.64/x
  3. Step 3: Cross multiply
    223.20x = 335.20 × 164.64
  4. Step 4: Simplify right side
    223.20x = 55,187.33
  5. Step 5: Solve for x
    x = 55,187.33/223.20
  6. Step 6: Final answer
    x = 247.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.